Random Attractor Associated with the Quasi-Geostrophic Equation

@article{Zhu2013RandomAA,
  title={Random Attractor Associated with the Quasi-Geostrophic Equation},
  author={Rongchan Zhu and Xiangchan Zhu},
  journal={Journal of Dynamics and Differential Equations},
  year={2013},
  volume={29},
  pages={289-322}
}
We study the long time behavior of the solutions to the 2D stochastic quasi-geostrophic equation on $${\mathbb {T}}^2$$T2 driven by additive noise and real linear multiplicative noise in the subcritical case (i.e. $$\alpha >\frac{1}{2}$$α>12) by proving the existence of a random attractor. The key point for the proof is the exponential decay of the $$L^p$$Lp-norm and a boot-strapping argument. The upper semicontinuity of random attractors is also established. Moreover, if the viscosity constant… 
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